Answer:
Fourth statement: The binomial expression 2w + 6 represents the length of the fish tank.
Step-by-step explanation:
He knows its height, h, is one inch less than twice the width, w, that is,
h = 2w – 1
and the length, l, of the fish tank is seven inches longer than the height, that is,
l = h + 7
Substitute h into the second equation:
l = (2w – 1) + 7
Solve the right side
l = 2w – 1 + 7
l = 2w + 6
Calculate the volume of the fish tank:
V = h x l x w =
V = (2w – 1) x (2w + 6) x w
V = (4w^2 + 12w – 2w – 6) x w
V = (4w^2 + 10w – 6) x w
V = 4w^3 + 10w^2 – 6w
The trinomial expression 4w3 - 10w2 + 6w represents the volume of the fish tank.
False: V = 4w^3 + 10w^2 – 6w
The binomial expression 4w3 + 10w2 represents the volume of the fish tank.
False: V = 4w^3 + 10w^2 – 6w
The monomial expression 2w represents the height of the fish tank.
False: h = 2w – 1
The binomial expression 2w + 6 represents the length of the fish tank.
True: l = 2w + 6
